252500101 has 16 divisors (see below), whose sum is σ = 306783360. Its totient is φ = 202996800.

The previous prime is 252500047. The next prime is 252500107. The reversal of 252500101 is 101005252.

It is a cyclic number.

It is not a de Polignac number, because 252500101 - 2¹³ = 252491909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252500107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4035 + ... + 22831.

It is an arithmetic number, because the mean of its divisors is an integer number (19173960).

Almost surely, 2^252500101 is an apocalyptic number.

It is an amenable number.

252500101 is a deficient number, since it is larger than the sum of its proper divisors (54283259).

252500101 is a wasteful number, since it uses less digits than its factorization.

252500101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18924.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 252500101 is about 15890.2517601201. The cubic root of 252500101 is about 632.0535167054.

Adding to 252500101 its reverse (101005252), we get a palindrome (353505353).

It can be divided in two parts, 252500 and 101, that multiplied together give a square (25502500 = 5050²).

The spelling of 252500101 in words is "two hundred fifty-two million, five hundred thousand, one hundred one".